arXiv subjects

Ebru Nayir

Publications and source records attributed to Ebru Nayir.

2 recordsLinked to original sources

arXiv2026

VC-Density in Divisible Oriented Abelian Groups and Their Pairs

We show that the VC-density in certain theories of oriented abelian groups is at most the size of parameter variables, which yields dp-minimality. We further prove that the VC-density of formulas in pairs of such models is bounded by twice the size of parameter variables. This uniform upper bound is shown to be sharp, and as a consequence, we show that such pairs have dp-rank 2.

math.LO↗

arXiv2026

VC-Density in Pairs of Ordered Vector Space

We show that the VC-density of any partitioned formula in a pair of ordered vector spaces is bounded above by twice the number of parameter variables. We also show that this bound is optimal and, as a by-product, we prove that no dense pair of o-minimal structures is dp-minimal.

math.LO↗